English

Inclusion-exclusion and Segre classes

Algebraic Geometry 2012-04-10 v1

Abstract

We propose a variation of the notion of Segre class, by forcing a naive `inclusion-exclusion' principle to hold. The resulting class is computationally tractable, and is closely related to Chern-Schwartz-MacPherson classes. We deduce several general properties of the new class from this relation, and obtain an expression for the Milnor class of a scheme in terms of this class.

Cite

@article{arxiv.math/0203122,
  title  = {Inclusion-exclusion and Segre classes},
  author = {Paolo Aluffi},
  journal= {arXiv preprint arXiv:math/0203122},
  year   = {2012}
}

Comments

8 pages